Yg. Xiao et al., Adaptive algorithm based on least mean p-power error criterion for Fourieranalysis in additive noise, IEEE SIGNAL, 47(4), 1999, pp. 1172-1181
This work presents a novel adaptive algorithm for the estimation of discret
e Fourier coefficients (DFC) of sinusoidal and/or quasi-periodic signals in
additive noise, The algorithm is derived using a least mean p-power error
criterion. It reduces to the conventional LMS algorithm when p, takes on 2,
It is revealed by both analytical results and extensive simulations that t
he new algorithm for p = 3, 4 generates much improved DFC estimates in mode
rate and high SNR environments compared with the LIMS algorithm, whereas bo
th have similar degrees of complexity. Assuming the Gaussian property of th
e estimation error, the proposed algorithm, including the LMS algorithm, is
analyzed in detail. Elegant dynamic equations and closed-form noise misadj
ustment expressions are derived and clarified.